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math.NA2022
Stability Analysis and Performance Evaluation of Mixed-Precision Runge-Kutta Methods
Ben Burnett, Sigal Gottlieb, Zachary J. Grant
Additive Runge-Kutta methods designed for preserving highly accurate solutions in mixed-precision computation were proposed and analyzed in 4. These specially designed methods use…
math.NA2022★ 2 cited
Discontinuous Galerkin method for linear wave equations involving derivatives of the Dirac delta distribution
Scott E. Field, Sigal Gottlieb, Gaurav Khanna +1
Linear wave equations sourced by a Dirac delta distribution and its derivative(s) can serve as a model for many different phenomena. We describe a discontinuous Galerkin (DG…